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AP EAMCET · PHYSICS · Alternating Current

The rms value of emf is given by \(E=(8 \sin \omega t+6 \cos \omega t)\) volt is

  1. A \(5 \sqrt{2} \mathrm{~V}\)
  2. B \(7 \sqrt{2} \mathrm{~V}\)
  3. C 10 V
  4. D \(10 \sqrt{2} \mathrm{~V}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(5 \sqrt{2} \mathrm{~V}\)

Step-by-step Solution

Detailed explanation

\[ \begin{aligned} E=(8 \sin \omega t & +6 \cos \omega t) \\ & =(A \cos \theta \sin \omega t-A \sin \theta \cos \omega t) \end{aligned} \] where, \(A \cos \theta=8\) and \(A \sin \theta=6\).…
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